Question

Solve the system of equations using the substitution method.

{2x+8y=4x=−3y+5



Enter your answers in the boxes.

x=


y=

Answer 1

`x = 14`

`y = -3`

Explanation:

Given

`2x + 8y =4`

`x = -3y + 5`

Required

Solve

Substitute
`x = -3y + 5` in
`2x + 8y =4`

`2(-3y + 5) + 8y =4`

Open bracket

`-6y + 10 + 8y =4`

Collect like terms

`-6y + 8y =4-10`

`2y =-6`

Divide both sides by 2

`y = -3`

Substitute
`y = -3` in
`x = -3y + 5`

`x = -3 * -3 + 5`

`x = 9+ 5`

`x = 14`